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Epidemic outbreaks and the optimal lockdown area: a spatial normative approach

Author

Listed:
  • Davide Torre

    (SKEMA Business School and Universite Cote d’Azur, Sophia Antipolis)

  • Danilo Liuzzi

    (University of Milan)

  • Simone Marsiglio

    (University of Pisa)

Abstract

Infectious diseases generate heterogeneous economic and health impacts within countries, thus it is essential to account for the spatial dimension in the design of epidemic management programs. We analyze the optimal regional policy to contain the spread of a communicable disease in a spatial framework with endogenous determination of the regional borders characterizing which policy regime will prevail. Specifically, the social planner needs to choose how to split the entire spatial economy in a number of regions in which a different combination of lockdown and treatment measures will be employed: in some region the only mitigation instrument will be treatment, while in some other treatment will be accompanied by a partial lockdown. We characterize the optimal solution both in an early and an advanced epidemic setting, showing that according to the circumstances it may be convenient either to partition the spatial economy in multiple regions with differentiated policies or to consider it a unique region subject to the same policy measure. Moreover, we show that from a normative perspective it is rather difficult to understand how to effectively determine the optimal size of a lockdown area (and thus of the lockdown intensity) since this critically depends on a number of factors, including the initial spatial distribution of disease prevalence, the amount of resources diverted from one region to the other, and the possible spatio-temporal evolution of the disease.

Suggested Citation

  • Davide Torre & Danilo Liuzzi & Simone Marsiglio, 2024. "Epidemic outbreaks and the optimal lockdown area: a spatial normative approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 349-411, February.
  • Handle: RePEc:spr:joecth:v:77:y:2024:i:1:d:10.1007_s00199-023-01517-w
    DOI: 10.1007/s00199-023-01517-w
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    2. Raouf Boucekkine & Ted Loch-Temzelides, 2024. "Introduction to the special issue on mathematical economic epidemiology models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 1-7, February.
    3. Taojie Qin & Xianghua Gan & Yuchen Li & Changsheng Qin, 2024. "Optimizing Cross-Regional Lockdown Policies for Epidemics: Balancing Economic and Public Health Costs," Sustainability, MDPI, vol. 16(17), pages 1-14, September.

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    More about this item

    Keywords

    Macroeconomic-epidemiological model; Optimal lockdown area; Regional policy; Spatio-temporal dynamics;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • I10 - Health, Education, and Welfare - - Health - - - General

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